A periodic model for the dynamics of cell volume
Annales Polonici Mathematici, Tome 116 (2016) no. 3, pp. 243-249
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We prove the existence and uniqueness of a positive periodic solution for a model describing the dynamics of cell volume flux, introduced by Julio A. Hernández [Bull. Math. Biol. 69 (2007), 1631–1648]. We also show that the periodic solution is a global attractor. Our results confirm the conjectures made in an interesting recent book of P. J. Torres [Atlantis Press, 2015].
Keywords:
prove existence uniqueness positive periodic solution model describing dynamics cell volume flux introduced julio hern ndez bull math biol periodic solution global attractor results confirm conjectures made interesting recent book nbsp nbsp torres atlantis press
Affiliations des auteurs :
Philip Korman 1
@article{10_4064_ap3857_3_2016,
author = {Philip Korman},
title = {A periodic model for the dynamics of cell volume},
journal = {Annales Polonici Mathematici},
pages = {243--249},
publisher = {mathdoc},
volume = {116},
number = {3},
year = {2016},
doi = {10.4064/ap3857-3-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap3857-3-2016/}
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TY - JOUR AU - Philip Korman TI - A periodic model for the dynamics of cell volume JO - Annales Polonici Mathematici PY - 2016 SP - 243 EP - 249 VL - 116 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap3857-3-2016/ DO - 10.4064/ap3857-3-2016 LA - en ID - 10_4064_ap3857_3_2016 ER -
Philip Korman. A periodic model for the dynamics of cell volume. Annales Polonici Mathematici, Tome 116 (2016) no. 3, pp. 243-249. doi: 10.4064/ap3857-3-2016
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